Existence of non-algebraic singularities of differential equation Export

@article{citeulike:4067503, abstract = {An algebraizable singularity is a germ of a singular holomorphic foliationwhich can be defined in some appropriate local chart by a differential equationwith algebraic coefficients. We show that there exists at least countably manysaddle-node singularities of the complex plane that are not algebraizable.}, archivePrefix = {arXiv}, author = {Genzmer, Yohann and Teyssier, Loic J.}, citeulike-article-id = {4067503}, citeulike-linkout-0 = {http://arxiv.org/abs/0902.2868}, citeulike-linkout-1 = {http://arxiv.org/pdf/0902.2868}, day = {17}, eprint = {0902.2868}, keywords = {foliations, normal\_forms, singularity}, month = {Feb}, posted-at = {2009-02-18 15:04:03}, priority = {3}, title = {Existence of non-algebraic singularities of differential equation}, url = {http://arxiv.org/abs/0902.2868}, year = {2009} }

TY - JOUR ID - citeulike:4067503 L3 - citeulike-article-id:4067503 N2 - An algebraizable singularity is a germ of a singular holomorphic foliationwhich can be defined in some appropriate local chart by a differential equationwith algebraic coefficients. We show that there exists at least countably manysaddle-node singularities of the complex plane that are not algebraizable. TI - Existence of non-algebraic singularities of differential equation KW - foliations KW - normal_forms KW - singularity AU - Genzmer, Yohann AU - Teyssier, Loic PY - 2009/Feb/17/ UR - http://arxiv.org/abs/0902.2868 ER -